The martingale representation of functionals of superprocesses has been studied in [1]}, [2]} and [3]}, where the authors proved the existence of a martingale representation and derive the explicit form for the richer class of so-called historical processes using their cluster representation, from which one can derive the representation for superprocesses as a projection. The approach presented in Section  is based on the ideas presented by Cont and Fournié in [4]} and [5]}, does not use the concept of historical processes and only considers the super-Brownian motion as a prototype of more general measure-valued diffusions.
